Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/138, 79/414 quickly i.e. 1185/138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/138, 79/414 is 1185/138.
LCM(15/138, 79/414) = 1185/138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/138,79/414
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 15,79
Least Common Multiple of Numerators i.e. LCM of 15,79 is 1185.
GCF of Denominators means GCF of 138,414 as per the given fractions.
GCF of 138,414 is 138 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 1185
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 15,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,79) x common factors =1 x 1 = 1
LCM(15,79) = ( 15 × 79 ) / 1
LCM(15,79) = 1185 / 1
LCM(15,79) = 1185
Lets's calculate GCF of 138,414
2 | 138, 414 |
3 | 69, 207 |
23 | 23, 69 |
1, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1185/138
Therefore the LCM of Fractions 15/138,79/414 is 1185/138
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 138,414 . The biggest common factor number is the GCF number.
So the greatest common factor 138,414 is 138.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 15/138, 79/414?
Answer: LCM of Numerators as per given numbers 15/138, 79/414 is
LCM of Numerators i.e. for 15,79 is 1185
GCF of denominators i.e. for 138,414 is 138.
Thus, LCM of Fractions is 1185/138.Finally, LCM of Fractions for 15/138, 79/414 is 1185/138.